102251140992 has 768 divisors, whose sum is σ = 408412569600. Its totient is φ = 24506634240.

The previous prime is 102251140967. The next prime is 102251141063. The reversal of 102251140992 is 299041152201.

102251140992 is a `hidden beast` number, since 10 + 2 + 2 + 511 + 40 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38052673 + ... + 38055359.

It is an arithmetic number, because the mean of its divisors is an integer number (531787200).

Almost surely, 2^102251140992 is an apocalyptic number.

102251140992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102251140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204206284800).

102251140992 is an abundant number, since it is smaller than the sum of its proper divisors (306161428608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102251140992 is a wasteful number, since it uses less digits than its factorization.

102251140992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 102251140992 in words is "one hundred two billion, two hundred fifty-one million, one hundred forty thousand, nine hundred ninety-two".